On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent
偏微分方程分析
2007-05-23 v1 数学物理
math.MP
摘要
We consider a class of nonlinear Dirichlet problems involving the --Laplace operator. Our framework is based on the theory of Sobolev spaces with variable exponent and we establish the existence of a weak solution in such a space. The proof relies on the Mountain Pass Theorem.
引用
@article{arxiv.math/0511167,
title = {On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent},
author = {Teodora Liliana Dinu},
journal= {arXiv preprint arXiv:math/0511167},
year = {2007}
}